// Numbas version: finer_feedback_settings
{"name": "Using your Calculator Effectively", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "c", "b"], "name": "Using your Calculator Effectively", "tags": ["BODMAS", "bodmas", "order of operations", "using a calculator"], "preamble": {"css": "", "js": ""}, "advice": "<p>You need to check in which order your calculator carries out the operations.</p>\n<p>If, when you input $2+3 \\times 4$ you get the answer $14$, then your calculator is scientific and will perform multiplication and division before addition and subtraction. If you get the answer $20$ then your calculator is performing operations in the order written.</p>\n<p>Be careful with negative numbers. Remember that squaring a negative number gives a positive number. For instance if you are using your calculator to find the square of $-6$ you need to input $(-6)^2$, not $-6^2$.</p>", "rulesets": {}, "parts": [{"prompt": "<p>$a + b c$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{a} + {b}*{c}+0.1", "minValue": "{a} + {b}*{c}-0.1", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$ b ^2 - \\sqrt{c}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{b}^2 - sqrt{c}+0.1", "minValue": "{b}^2 - sqrt{c}-0.1", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$ \\dfrac{c^3 -a}{b+ a}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "0.1+({c}^3 -a})/({b}+{a})", "minValue": "(({c}^3 -a})/({b}+{a}))-0.1", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>If $a = \\var{a}, \\ b= \\var{b}$ and&nbsp; $c= \\var{c}$, use your calculator to work out the value of the following expressions. Round your answer to 2 d. p. where necessary.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(-5..9#0.1 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(4..24#0.1)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(-15..-8#0.1 except -a)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Understanding order of operations on a calculator and using power and root keys.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}